build(deps): bump DeterminateSystems/nix-installer-action from 13 to 16

Bumps [DeterminateSystems/nix-installer-action](https://github.com/determinatesystems/nix-installer-action) from 13 to 16.
- [Release notes](https://github.com/determinatesystems/nix-installer-action/releases)
- [Commits](DeterminateSystems/nix-installer-action@v13...v16)

---
updated-dependencies:
- dependency-name: DeterminateSystems/nix-installer-action
  dependency-type: direct:production
  update-type: version-update:semver-major
...

Signed-off-by: dependabot[bot] <[email protected]>

Author: dependabot[bot]

.github/workflows/build-quickgui.yml

@@ -120,7 +120,7 @@ jobs:
       - name: "Checkout 🥡"
         uses: "actions/checkout@v4"
       - name: "Install Nix ❄️"
-        uses: "DeterminateSystems/nix-installer-action@v13"
+        uses: "DeterminateSystems/nix-installer-action@v16"
       - name: "Enable Magic Nix Cache 🪄"
         uses: "DeterminateSystems/magic-nix-cache-action@v7"
       - name: "Build with Nix ❄️"

.github/workflows/flake-checker.yml

@@ -16,6 +16,6 @@ jobs:
       - uses: actions/checkout@v4
         with:
           fetch-depth: 0
-      - uses: DeterminateSystems/nix-installer-action@v13
+      - uses: DeterminateSystems/nix-installer-action@v16
       - uses: DeterminateSystems/magic-nix-cache-action@v7
       - uses: DeterminateSystems/flake-checker-action@v9

.github/workflows/flake-updater.yml

@@ -13,7 +13,7 @@ jobs:
       - uses: actions/checkout@v4
         with:
           fetch-depth: 0
-      - uses: DeterminateSystems/nix-installer-action@v13
+      - uses: DeterminateSystems/nix-installer-action@v16
       - uses: DeterminateSystems/magic-nix-cache-action@v7
       - uses: DeterminateSystems/update-flake-lock@v24
         with:

.github/workflows/publish-quickgui.yml

@@ -103,7 +103,7 @@ jobs:
       - uses: "actions/checkout@v4"
         with:
           ref: "${{ (inputs.tag != null) && format('refs/tags/{0}', inputs.tag) || '' }}"
-      - uses: "DeterminateSystems/nix-installer-action@v13"
+      - uses: "DeterminateSystems/nix-installer-action@v16"
       - uses: "DeterminateSystems/magic-nix-cache-action@v7"
       - uses: "DeterminateSystems/flakehub-push@v5"
         with: