Addresses review on #73013.
1. Manage Profiles used a hand-rolled delete Dialog next to the shared
DeleteProfileDialog in the same folder. That copy missed the active-
profile re-home fix (f764b0400): deleting the profile the gateway is
on stranded it on a dead backend. Switch to the shared dialog, which
owns the deleteProfile call and re-homes to default. Drops
handleConfirmDelete, the deleting state, and the now-unused Dialog*
imports.
2. The name field regressed to a plain Input during the create-dialog
dedup, losing live slugging. Level both shared dialogs up to
SanitizedInput sanitize={slug} so every entry point gets the behavior
Manage Profiles had — the sanitize primitive means callers never
validate-then-reject.
3. Nothing rendered ProfilesView, which is how the drift got in. Add a
behavior test: create dialog exposes SOUL.md, deleting the active
profile re-homes to default, deleting a non-active one does not.
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