Bump DeterminateSystems/nix-installer-action from 12 to 16

Bumps [DeterminateSystems/nix-installer-action](https://github.com/determinatesystems/nix-installer-action) from 12 to 16.
- [Release notes](https://github.com/determinatesystems/nix-installer-action/releases)
- [Commits](DeterminateSystems/nix-installer-action@7993355...e50d5f7)

---
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/ci.yml

@@ -18,7 +18,7 @@ jobs:
             system: x86_64-linux
     steps:
       - uses: actions/checkout@d632683dd7b4114ad314bca15554477dd762a938 # v4.2.0
-      - uses: DeterminateSystems/nix-installer-action@7993355175c2765e5733dae74f3e0786fe0e5c4f # v12
+      - uses: DeterminateSystems/nix-installer-action@e50d5f73bfe71c2dd0aa4218de8f4afa59f8f81d # v16
       - uses: DeterminateSystems/magic-nix-cache-action@87b14cf437d03d37989d87f0fa5ce4f5dc1a330b # v8
       - run: nix build .#amazonImage -L --system ${{ matrix.runs-on.system }}
       - run: nix flake check -L --system ${{ matrix.runs-on.system }}

.github/workflows/publish-flake.yml

@@ -13,7 +13,7 @@ jobs:
       contents: read
     steps:
       - uses: actions/checkout@d632683dd7b4114ad314bca15554477dd762a938 # v4.2.0
-      - uses: DeterminateSystems/nix-installer-action@7993355175c2765e5733dae74f3e0786fe0e5c4f # v12
+      - uses: DeterminateSystems/nix-installer-action@e50d5f73bfe71c2dd0aa4218de8f4afa59f8f81d # v16
       - uses: DeterminateSystems/flakehub-push@8da9e38b7e77f2b0a8aa08a22e57cc5c6316ea72 #v5
         with:
           name: NixOS/amis

.github/workflows/tf-plan-apply.yml

@@ -20,7 +20,7 @@ jobs:
       exitcode: ${{ steps.plan.outputs.exitcode }}
     steps:
       - uses: actions/checkout@d632683dd7b4114ad314bca15554477dd762a938 # v4.2.0
-      - uses: DeterminateSystems/nix-installer-action@7993355175c2765e5733dae74f3e0786fe0e5c4f # v12
+      - uses: DeterminateSystems/nix-installer-action@e50d5f73bfe71c2dd0aa4218de8f4afa59f8f81d # v16
       - uses: DeterminateSystems/magic-nix-cache-action@87b14cf437d03d37989d87f0fa5ce4f5dc1a330b # v8
       - uses: aws-actions/configure-aws-credentials@e3dd6a429d7300a6a4c196c26e071d42e0343502 # v4.0.2
         with:
@@ -57,7 +57,7 @@ jobs:
     if: github.ref == 'refs/heads/main' && needs.plan.outputs.exitcode == 2
     steps:
       - uses: actions/checkout@d632683dd7b4114ad314bca15554477dd762a938 # v4.2.0
-      - uses: DeterminateSystems/nix-installer-action@7993355175c2765e5733dae74f3e0786fe0e5c4f # v12
+      - uses: DeterminateSystems/nix-installer-action@e50d5f73bfe71c2dd0aa4218de8f4afa59f8f81d # v16
       - uses: DeterminateSystems/magic-nix-cache-action@87b14cf437d03d37989d87f0fa5ce4f5dc1a330b # v8
       - uses: aws-actions/configure-aws-credentials@e3dd6a429d7300a6a4c196c26e071d42e0343502 # v4.0.2
         with:

.github/workflows/update-flake-lock.yml

@@ -13,6 +13,6 @@ jobs:
       pull-requests: write
     steps:
       - uses: actions/checkout@d632683dd7b4114ad314bca15554477dd762a938 # v4.2.0
-      - uses: DeterminateSystems/nix-installer-action@7993355175c2765e5733dae74f3e0786fe0e5c4f # v12
+      - uses: DeterminateSystems/nix-installer-action@e50d5f73bfe71c2dd0aa4218de8f4afa59f8f81d # v16
       - uses: DeterminateSystems/update-flake-lock@db4ee38117a597ea8df8f7f75a187dd65093eade # v23
       - uses: DeterminateSystems/update-flake-lock@da2fd6f2563fe3e4f2af8be73b864088564e263d # v20

.github/workflows/upload-legacy-ami.yml

@@ -25,7 +25,7 @@ jobs:
           - aarch64-linux
     steps:
       - uses: actions/checkout@d632683dd7b4114ad314bca15554477dd762a938 # v4.2.0
-      - uses: DeterminateSystems/nix-installer-action@7993355175c2765e5733dae74f3e0786fe0e5c4f # v12
+      - uses: DeterminateSystems/nix-installer-action@e50d5f73bfe71c2dd0aa4218de8f4afa59f8f81d # v16
       - uses: DeterminateSystems/magic-nix-cache-action@87b14cf437d03d37989d87f0fa5ce4f5dc1a330b # v8
       # NOTE: We download the AMI from Hydra instead of building it ourselves
       # because aarch64 is currently not supported by AWS EC2 and the legacy
@@ -100,7 +100,7 @@ jobs:
       url: ${{ steps.deployment.outputs.page_url }}
     steps:
       - uses: actions/checkout@d632683dd7b4114ad314bca15554477dd762a938 # v4.2.0
-      - uses: DeterminateSystems/nix-installer-action@7993355175c2765e5733dae74f3e0786fe0e5c4f # v12
+      - uses: DeterminateSystems/nix-installer-action@e50d5f73bfe71c2dd0aa4218de8f4afa59f8f81d # v16
       - uses: DeterminateSystems/magic-nix-cache-action@87b14cf437d03d37989d87f0fa5ce4f5dc1a330b # v8
       - uses: aws-actions/configure-aws-credentials@e3dd6a429d7300a6a4c196c26e071d42e0343502 # v4.0.1
         with: