## Context
Incoming Microsoft messaging, Microsoft calendar, and Google calendar
webhook notifications resolve their channel through
`webhookSubscriptionExternalId`.
The column was added without an index, so PostgreSQL has to scan the
corresponding channel table for every notification. Under sustained
webhook traffic, these repeated scans add unnecessary database work and
keep core database connections occupied longer.
## What changed
- Add a partial B-tree index on
`messageChannel.webhookSubscriptionExternalId`
- Add the equivalent index on
`calendarChannel.webhookSubscriptionExternalId`
- Register both indexes in the TypeORM entity metadata
- Add an idempotent 2.25 fast instance upgrade command to create and
remove them
The webhook handlers and their queries remain unchanged.
## Why this design
- The indexes contain only non-null subscription IDs, channels without
an active subscription do not add index entries
- A single-column index supports both the equality lookup used by Google
and the `IN` lookup used by Microsoft
- The indexes are intentionally non-unique, this preserves existing
behavior and avoids making the upgrade fail if historical duplicate
values exist
- Subscription IDs are read much more often than they are updated, so
index maintenance overhead should be negligible
## Expected impact
Webhook channel resolution should require a targeted index lookup
instead of a table scan. This reduces database work, shortens connection
occupancy, and improves latency on webhook notification paths.
This is a targeted database optimization. It complements the database
pool changes, but is not expected to resolve every source of API tail
latency by itself.
## Validation
- Server typecheck passes
- Oxlint and formatting checks pass
- Upgrade command uses idempotent `CREATE INDEX IF NOT EXISTS` and `DROP
INDEX IF EXISTS` statements
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