Make a vault the thing you create, and let a window set one aside

Everything a shared vault needs was already here and arranged the wrong way
round. A vault has to belong to a team, so creating one meant going to the teams
screen, founding an organisation, and only then adding a vault to it — which the
NEW VAULT button named after the team, so a team with three of them held three
vaults called the same thing and nothing told them apart. Somebody who wants to
share four servers with two colleagues is not asking to found anything.

So the form asks for a name and nothing else. The team is derived from it, slug
included, and created with this account as its owner; the vault goes inside; and
the members, roles, invitations and key holders that hang off a team are all on
screen the moment it exists. The tab strip's New vault entry lands there with the
new vault selected, which is where the next thing anybody wants to do already is.

That is two calls, and the first can succeed alone. When it does the team is
kept: the id is minted once into pendingVaultTeamId, so pressing CREATE again
resends the identical create — which the server treats as the same team — and
retries the vault, and the message says all of that rather than "creating the
vault failed". Archiving the orphan instead would be a client deleting something
on the user's behalf because a later step failed, which is the kind of tidying
that eventually archives a team somebody has just been added to. A slug taken by
somebody else is retried once with a disambiguated one and never in a loop; a
name with no a-z or 0-9 anywhere in it falls back to the team's own id rather
than to a refusal pointing at a field nobody was shown.

The other half is the caret beside Vaults. Being in four teams means four teams'
machines in front of you all day, and the answer is a switch per vault rather
than four sign-ins. Switching one off takes its hosts, groups, keys and pins off
the screens that list them and does nothing else: it still syncs, its key stays
in the keyring, it stays choosable as somewhere to file a new item, and a shown
host that authenticates with a key filed in it still connects. That last one is
what shaped the design. TryBuildAuthentication resolves a binding out of the
keychain's typed list and a cross-vault binding is legal, so filtering the reload
loops — the obvious implementation — would have turned a preference about reading
into an outage. Only the projections a person reads consult IsVaultShown; every
Reload*Async stays whole, including the dialled-endpoint set that decides which
pins are described as unused, because that is a hint which invites deleting
trust.

Snippets, logs and buckets needed no code and the comment says so out loud: all
three read ActiveVaultId alone, and the personal vault is drawn in the menu
ticked and cannot be switched off — it is the active vault, the group and tag
editors' target, and the save picker's fallback, so hiding it would empty half
the application rather than filter it.

The preference is a column on the cache's vault row, which is what makes it
survive both a relaunch and the /me refresh that runs every minute: Apply does
not touch it, deliberately, because the server has never been told which vaults
this machine is showing. It is in the encrypted cache rather than settings.json
because it is a list of vault ids and that file's own doc comment says what may
go in it. VaultSession cannot see the type at all — ReadableVaults is what the
sync loop walks, and a filter reaching it would be a vault that quietly stopped
syncing, found out weeks later from a host that was never there.

The strip's note refusing a MenuFlyout stands and is unchanged. This flyout
sidesteps the question rather than answering it: the handler selects the Vaults
tab first, which collapses the renderer, so nothing native is under the popup by
the time it opens — the move QuickConnect already makes. A headless test asserts
that ordering, which is as far as headless can go with no native window, and
manual check 1.6 is the other half.

The phone is out of scope on purpose: it has no tab strip and its teams screen's
vault section is read-only. The plumbing is in Client.Shell, so it can adopt this
later; until then nothing there is ever hidden, which is today's behaviour.

1514 tests pass. Fifteen are new in VaultVisibilityTests, and the ones worth
naming are the guards: a hidden vault still syncs, still holds keys that
authenticate hosts on screen, still appears in the save picker, and still counts
towards which pins nothing dials.

Not fixed, and noted here because it is next door: VaultGrantService's team-vault
create refuses a taken vault id rather than returning the existing vault, while
VaultSharing's own remark claims a create whose response was lost is safe to
resend. A lost 200 therefore leaves a vault whose key the client's catch already
zeroed, openable by nobody.

src/DodoSSH.Client.App/App.axaml

@@ -446,6 +446,36 @@
       <Setter Property="BorderBrush" Value="{StaticResource BorderMid}" />
     </Style>
 
+    <!--
+      The two halves of the Vaults tab: the tab itself, and the caret that opens its menu. Two buttons
+      because they do two things, drawn as one pill because they are one destination — so the pair meets in
+      the middle with no gap, no doubled border down the join, and the outer corners rounded as any tab's
+      are.
+
+      Both the Button and its ContentPresenter carry a CornerRadius above, so both have to be squared here:
+      setting only one leaves a rounded outline inside a square hit area, which shows as a hairline of the
+      strip's background cutting through the join.
+
+      After Button.tab.fixed rather than beside it, because .caret takes that rule's padding back to zero
+      and Avalonia has no specificity — the later declaration is the one that wins. See the ordering note
+      above.
+    -->
+    <Style Selector="Button.tab.split">
+      <Setter Property="Margin" Value="0" />
+      <Setter Property="CornerRadius" Value="8,0,0,8" />
+    </Style>
+    <Style Selector="Button.tab.split /template/ ContentPresenter#PART_ContentPresenter">
+      <Setter Property="CornerRadius" Value="8,0,0,8" />
+      <Setter Property="BorderThickness" Value="1,1,0,1" />
+    </Style>
+    <Style Selector="Button.tab.caret">
+      <Setter Property="Padding" Value="0" />
+      <Setter Property="CornerRadius" Value="0,8,8,0" />
+    </Style>
+    <Style Selector="Button.tab.caret /template/ ContentPresenter#PART_ContentPresenter">
+      <Setter Property="CornerRadius" Value="0,8,8,0" />
+    </Style>
+
     <!--
       A pair of buttons standing in for a two-way choice, inside a pane rather than down a rail. Not the
       .cat style, which stretches to fill a 176-pixel rail row and would be wrong at this width — and which
@@ -843,8 +873,12 @@
     <!--
       A context menu, in this window's palette rather than the theme's. The Fluent default is a lighter grey
       than anything else here, which on a near-black chrome reads as a dialog from another application.
+
+      FlyoutPresenter is in the same rule rather than one of its own: the vault menu on the tab strip is a
+      plain Flyout, and a popup that came out of this window in a different grey from the context menu two
+      screens away would read as two applications rather than one.
     -->
-    <Style Selector="MenuFlyoutPresenter, ContextMenu">
+    <Style Selector="MenuFlyoutPresenter, ContextMenu, FlyoutPresenter">
       <Setter Property="Background" Value="{StaticResource Chrome}" />
       <Setter Property="BorderBrush" Value="{StaticResource BorderMid}" />
       <Setter Property="BorderThickness" Value="1" />