[52] [M5.3] Hearthstone bind / innkeeper set-home (persist to DB)

[alseif0x]

BinderActivate opens UI but never sets bind point (character.rs:8926 TODO).
Done: innkeeper sets home; hearthstone teleports there; persists.

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Part of the PORT_PLAN. State: docs/migration/STATE.md · Defects: docs/migration/EXISTING-CODE-DEFECTS.md.
Done = runs live + byte/opcode-clean vs a C++ capture of the same action + exercised on a running server + C++ refs cited (STATE.md §5). 1 issue = 1 PR.