Remove cargo nextest from github workflow, out of space (#1846)

The github provided ubuntu image/host/container has a limited amount of
space, and we have apparently hit that limit. We could figure it out and
update it, but this test is already a duplicate of what we do in
buildomat, so I just pulled out the test part, so now it just does cargo
fmt/build/check.

---------

Co-authored-by: Alan Hanson <[email protected]>

Author: leftwo

.github/workflows/rust.yml

@@ -24,7 +24,7 @@ jobs:
     - uses: actions/checkout@11bd71901bbe5b1630ceea73d27597364c9af683 # v4
     - name: Test build documentation
       run: cargo doc
-  build-and-test:
+  build:
     runs-on: ubuntu-latest
     steps:
     - uses: actions/checkout@11bd71901bbe5b1630ceea73d27597364c9af683 # v4
@@ -35,10 +35,6 @@ jobs:
       run: sudo apt-get install libsqlite3-dev
     - name: Build
       run: cargo build --verbose
-    - name: Install latest nextest release
-      uses: taiki-e/install-action@nextest
-    - name: Test nextest all
-      run: cargo nextest run --verbose
   clippy:
     runs-on: ubuntu-latest
     steps: