Remove store search support flag

[isaacroldan]

Summary:

• Remove the supportsStoreSearch capability from DeveloperPlatformClient.
• Always pass store-name search to the store selection prompt.
• Clean up test client stubs and store-selection coverage.

Validation:

• pnpm vitest run packages/app/src/cli/services/dev/select-store.test.ts
• pnpm --filter app type-check
• pnpm --filter app lint
• pnpm knip

[isaacroldan]

• new refactor deploy matching version 2 #8040
• Remove dashboard managed extension support flag #8034
• Remove bundled UI extensions dev console #8033
• Remove unused extension creation surface #8023
• Remove atomic deployment support flag #8022
• Remove store search support flag #8021 👈 (View in Graphite)
• Remove legacy developer preview concepts #8020
• Remove dev session support branching #8019
• Remove deprecated draftable extension process #8018
• Remove deprecated 1P dev mode #8017
• main

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[github-actions]

Differences in type declarations

We detected differences in the type declarations generated by Typescript for this branch compared to the baseline ('main' branch). Please, review them to ensure they are backward-compatible. Here are some important things to keep in mind:

• Some seemingly private modules might be re-exported through public modules.
• If the branch is behind main you might see odd diffs, rebase main into this branch.

New type declarations

We found no new type declarations in this PR

Existing type declarations

packages/cli-kit/dist/private/node/constants.d.ts

@@ -6,7 +6,6 @@ export declare const environmentVariables: {
     doctor: string;
     enableCliRedirect: string;
     env: string;
-    firstPartyDev: string;
     noAnalytics: string;
     optOutInstrumentation: string;
     appAutomationToken: string;

packages/cli-kit/dist/public/node/context/local.d.ts

@@ -63,13 +63,6 @@ export declare function alwaysLogAnalytics(env?: NodeJS.ProcessEnv): boolean;
  * @returns True if SHOPIFY_CLI_ALWAYS_LOG_METRICS is truthy.
  */
 export declare function alwaysLogMetrics(env?: NodeJS.ProcessEnv): boolean;
-/**
- * Returns true if the CLI User is 1P.
- *
- * @param env - The environment variables from the environment of the current process.
- * @returns True if SHOPIFY_CLI_1P is truthy.
- */
-export declare function firstPartyDev(env?: NodeJS.ProcessEnv): boolean;
 /**
  * Returns true if the CLI can run the "doctor-release" command.
  *