fix(web): converge search runtime boundaries (round 8)

docs/config-catalog.md

@@ -1057,6 +1057,8 @@ export interface Config extends SessionQueryConfig {
    * POSIX filesystems; existing modes are preserved.
    */
   path: string
+  /** Open the SQLite module and handle at service activation or the first search. Defaults to `startup`. */
+  openAt?: OpenAt
   /** SQLite journal mode. Defaults to `wal`. */
   journalMode?: JournalMode
   /** Page size when a request omits `limit`. At most `Number.MAX_SAFE_INTEGER - 1`; defaults to 20. */
@@ -1069,13 +1071,16 @@ export interface Config extends SessionQueryConfig {
   persistedInspectConcurrency?: number
 }
 
+/** SQLite module/handle opening phase. */
+export type OpenAt = 'startup' | 'first-search'
+
 /** Supported SQLite journal modes. */
 export type JournalMode = 'wal' | 'delete' | 'truncate' | 'persist'
 ```
 
 Depends on: [`SessionQueryConfig`](../packages/session-query/session-query/src/index.ts)
 
-Source: [`packages/session-query/session-query-sqlite/src/index.ts:76`](../packages/session-query/session-query-sqlite/src/index.ts)
+Source: [`packages/session-query/session-query-sqlite/src/index.ts:79`](../packages/session-query/session-query-sqlite/src/index.ts)
 
 ## `@deepseek-ai/dsh-session-reference`