refactor(coordinator): simplify logic post-Euclid (#1652)

.github/workflows/prover.yml

@@ -1,99 +0,0 @@
-name: Prover
-
-on:
-  push:
-    branches:
-      - main
-      - staging
-      - develop
-      - alpha
-    paths:
-      - 'prover/**'
-      - '.github/workflows/prover.yml'
-  pull_request:
-    types:
-      - opened
-      - reopened
-      - synchronize
-      - ready_for_review
-    paths:
-      - 'prover/**'
-      - '.github/workflows/prover.yml'
-
-defaults:
-  run:
-    working-directory: 'prover'
-
-jobs:
-  skip_check:
-    runs-on: ubuntu-latest
-    outputs:
-      should_skip: ${{ steps.skip_check.outputs.should_skip }}
-    steps:
-      - id: skip_check
-        uses: fkirc/skip-duplicate-actions@v5
-        with:
-          cancel_others: 'true'
-          concurrent_skipping: 'same_content_newer'
-          paths_ignore: '["**/README.md"]'
-
-  fmt:
-    needs: [skip_check]
-    if: |
-      github.event.pull_request.draft == false &&
-      (github.event.action == 'ready_for_review' || needs.skip_check.outputs.should_skip != 'true')
-    runs-on: ubuntu-latest
-    timeout-minutes: 15
-    steps:
-      - uses: actions/checkout@v4
-      - uses: dtolnay/rust-toolchain@master
-        with:
-          toolchain: nightly-2023-12-03
-          components: rustfmt
-      - name: Cargo cache
-        uses: Swatinem/rust-cache@v2
-        with:
-          workspaces: "prover -> target"
-      - name: Cargo check
-        run: cargo check --all-features
-      - name: Cargo fmt
-        run: cargo fmt --all -- --check
-  
-  clippy:
-    needs: [skip_check, fmt]
-    if: |
-      github.event.pull_request.draft == false &&
-      (github.event.action == 'ready_for_review' || needs.skip_check.outputs.should_skip != 'true')
-    runs-on: ubuntu-latest
-    timeout-minutes: 30
-    steps:
-      - uses: actions/checkout@v4
-      - uses: dtolnay/rust-toolchain@master
-        with:
-          toolchain: nightly-2023-12-03
-          components: clippy
-      - name: Cargo cache
-        uses: Swatinem/rust-cache@v2
-        with:
-          workspaces: "prover -> target"
-      - name: Run clippy
-        run: cargo clippy --all-features --all-targets -- -D warnings
-
-  compile:
-    needs: [skip_check, clippy]
-    if: |
-      github.event.pull_request.draft == false &&
-      (github.event.action == 'ready_for_review' || needs.skip_check.outputs.should_skip != 'true')
-    runs-on: ubuntu-latest
-    steps:
-      - uses: actions/checkout@v4
-      - uses: dtolnay/rust-toolchain@master
-        with:
-          toolchain: nightly-2023-12-03
-      - name: Cache cargo
-        uses: Swatinem/rust-cache@v2
-        with:
-          workspaces: "prover -> target"
-      - name: Test
-        run: |
-          make prover