refactor(deps): removed turbo-based workspace pipeline in favor of bun workspaces

- Removed Turborepo cache steps from CI and dropped .turbo from gitignore.
- Migrated root scripts from turbo commands to bun workspace execution for build, test, lint, check, format, and fix.
- Removed turbo dependencies and deleted turbo.json task configuration files from the repository.

.github/workflows/ci.yml

@@ -33,13 +33,6 @@ jobs:
         with:
           path: ~/.bun/install/cache
           key: bun-${{ runner.os }}-${{ hashFiles('**/bun.lock') }}
-      - name: Cache Turbo artifacts
-        uses: actions/cache@v4
-        with:
-          path: .turbo
-          key: ${{ runner.os }}-turbo-${{ github.sha }}
-          restore-keys: |
-            ${{ runner.os }}-turbo-
       - run: bun install --frozen-lockfile
       - name: Type check changed packages
         if: github.event_name == 'pull_request'
@@ -138,13 +131,6 @@ jobs:
         with:
           path: ~/.bun/install/cache
           key: bun-${{ runner.os }}-${{ hashFiles('**/bun.lock') }}
-      - name: Cache Turbo artifacts
-        uses: actions/cache@v4
-        with:
-          path: .turbo
-          key: ${{ runner.os }}-turbo-${{ github.sha }}
-          restore-keys: |
-            ${{ runner.os }}-turbo-
       - name: Install system deps
         run: |
           sudo apt-get update