Apply updated Codex repository kit guidance

opera-cache-cleaner-extension/.codex/project.md

@@ -16,9 +16,11 @@ Gitea URL:
 https://git.wilkensxl.de/Toxic/Opera-Extensions.git
 ```
 
+Repository owner and name are derived from this target remote, not from the Codex repository kit remote.
+
 ## Commands
 
-Use these commands as the source of truth from the repository root:
+Use these commands as the source of truth from this extension directory:
 
 ```text
 Syntax check background: node --check background.js

opera-cache-cleaner-extension/AGENTS.md

@@ -6,6 +6,7 @@ Opera Cache Cleaner is an Opera-compatible Chromium extension that clears only t
 
 ## Repository Rules
 
+- Derive the repository owner and repository name from the target repository remote or CI repository context. Never reuse the owner from the repository kit remote.
 - Preserve the plain Manifest V3 extension structure. Do not add a framework unless the user explicitly asks for it.
 - Keep runtime code in `background.js` and `popup/`.
 - Keep permissions minimal. The extension currently uses only `browsingData`, `storage`, and `alarms`.
@@ -15,7 +16,7 @@ Opera Cache Cleaner is an Opera-compatible Chromium extension that clears only t
 
 ## Commands
 
-Use these commands from the repository root:
+Use these commands from this extension directory:
 
 ```bash
 node --check background.js
@@ -27,7 +28,7 @@ There is no package manager, dependency install, lint, or dependency audit comma
 
 ## Artifacts
 
-Expected release artifact:
+Expected release artifact from this extension directory:
 
 ```text
 dist/opera-cache-cleaner-extension.zip

opera-cache-cleaner-extension/docs/agent-handoff.md

@@ -2,16 +2,16 @@
 
 ## Current State
 
-The Codex repository baseline has been applied to the local Opera Cache Cleaner extension.
+The Codex repository baseline has been applied to the local Opera Cache Cleaner extension and repository root.
 
 ## Notes For Next Agent
 
 - The project is not currently a Git repository in this workspace.
 - Expected Gitea repository: `https://git.wilkensxl.de/Toxic/Opera-Extensions.git`.
+- Repository owner/name must be derived from the project remote, not from the repository kit remote.
 - The project has no package manager and no external dependencies.
 - Use syntax checks and manual Opera extension testing as the main verification path.
 
 ## Open Items
 
-- Initialize or connect a Git repository if the project should be pushed to Gitea.
-- Confirm whether this extension should live at the repository root or inside `opera-cache-cleaner-extension/` before enabling package publishing or Gitea API polling.
+- Confirm whether this extension should continue living inside `opera-cache-cleaner-extension/` before enabling package publishing.