Update parity-publish to v0.10.4 (#7193)

The changes from v0.10.3 are only related to dependencies version. This
should fix some failing CIs.

This PR also updates the Rust cache version in CI.

.github/workflows/check-semver.yml

@@ -81,7 +81,7 @@ jobs:
       - name: install parity-publish
         if: ${{ !contains(github.event.pull_request.labels.*.name, 'R0-silent') }}
         # Set the target dir to cache the build.
-        run: CARGO_TARGET_DIR=./target/ cargo install [email protected].3 --locked -q
+        run: CARGO_TARGET_DIR=./target/ cargo install [email protected].4 --locked -q
 
       - name: check semver
         if: ${{ !contains(github.event.pull_request.labels.*.name, 'R0-silent') }}

.github/workflows/publish-check-compile.yml

@@ -26,12 +26,14 @@ jobs:
       - uses: actions/checkout@6d193bf28034eafb982f37bd894289fe649468fc # v4.1.7
 
       - name: Rust Cache
-        uses: Swatinem/rust-cache@82a92a6e8fbeee089604da2575dc567ae9ddeaab # v2.7.5
+        uses: Swatinem/rust-cache@f0deed1e0edfc6a9be95417288c0e1099b1eeec3 # v2.7.7
         with:
           cache-on-failure: true
 
       - name: install parity-publish
-        run: cargo install [email protected] --locked -q
+        run: |
+          rustup override set 1.82.0
+          cargo install [email protected] --locked -q
 
       - name: parity-publish update plan
         run: parity-publish --color always plan --skip-check --prdoc prdoc/

.github/workflows/publish-check-crates.yml

@@ -19,12 +19,12 @@ jobs:
       - uses: actions/checkout@6d193bf28034eafb982f37bd894289fe649468fc # v4.1.7
 
       - name: Rust Cache
-        uses: Swatinem/rust-cache@82a92a6e8fbeee089604da2575dc567ae9ddeaab # v2.7.5
+        uses: Swatinem/rust-cache@f0deed1e0edfc6a9be95417288c0e1099b1eeec3 # v2.7.7
         with:
           cache-on-failure: true
 
       - name: install parity-publish
-        run: cargo install [email protected].3 --locked -q
+        run: cargo install [email protected].4 --locked -q
 
       - name: parity-publish check
         run: parity-publish --color always check --allow-unpublished

.github/workflows/publish-claim-crates.yml

@@ -13,12 +13,12 @@ jobs:
       - uses: actions/checkout@6d193bf28034eafb982f37bd894289fe649468fc # v4.1.7
 
       - name: Rust Cache
-        uses: Swatinem/rust-cache@82a92a6e8fbeee089604da2575dc567ae9ddeaab # v2.7.5
+        uses: Swatinem/rust-cache@f0deed1e0edfc6a9be95417288c0e1099b1eeec3 # v2.7.7
         with:
           cache-on-failure: true
 
       - name: install parity-publish
-        run: cargo install [email protected].3 --locked -q
+        run: cargo install [email protected].4 --locked -q
 
       - name: parity-publish claim
         env: