Bump version to 0.16.x, respect new tag names

With 0.16.x, we started to release the lychee CLI binary separately from
the lychee library. As a consequence, the crates get prefixed differently
on GitHub releases:

- CLI binary: `lychee-v0.16.0`
- Library: `lychee-lib-v0.16.0`

We need to account for that when downloading the binary, as shown in this commit.

action.yml

@@ -28,7 +28,7 @@ inputs:
     required: false
   lycheeVersion:
     description: "Use custom version of lychee link checker"
-    default: v0.15.0
+    default: v0.16.1
     required: false
   output:
     description: "Summary output file path"
@@ -60,8 +60,17 @@ runs:
         # This determines the correct filename based on the version string.
         if [[ '${{ inputs.lycheeVersion }}' =~ ^v0\.0|^v0\.1[0-5]\. ]]; then
           echo "filename=lychee-${{ inputs.lycheeVersion }}-x86_64-unknown-linux-gnu.tar.gz" >> $GITHUB_OUTPUT
+          echo "tag=${{ inputs.lycheeVersion }}" >> $GITHUB_OUTPUT
         else
           echo "filename=lychee-x86_64-unknown-linux-gnu.tar.gz" >> $GITHUB_OUTPUT
+          # Each crate in the workspace has its own tag, so we need to specify the tag for the binary.
+          # The binary is released under the 'lychee' tag, the library under 'lychee-lib'.
+          # For nightly builds, we use the 'nightly' tag.
+          if [[ '${{ inputs.lycheeVersion }}' == 'nightly' ]]; then
+            echo "tag=${{ inputs.lycheeVersion }}" >> $GITHUB_OUTPUT
+          else
+            echo "tag=lychee-${{ inputs.lycheeVersion }}" >> $GITHUB_OUTPUT
+          fi
         fi
       shell: bash
 
@@ -75,7 +84,7 @@ runs:
 
     - name: Download lychee
       run: |
-        curl -sfLO "https://github.com/lycheeverse/lychee/releases/download/${{ inputs.lycheeVersion }}/${{ steps.lychee-filename.outputs.filename }}"
+        curl -sfLO "https://github.com/lycheeverse/lychee/releases/download/${{ steps.lychee-filename.outputs.tag }}/${{ steps.lychee-filename.outputs.filename }}"
       shell: bash
 
     - name: Extract lychee