Publish docker CLI to ACR from feature branches (#692)

## Type of change

<!-- (mark with an `X`) -->

```
- [ ] Bug fix
- [ ] New feature development
- [ ] Tech debt (refactoring, code cleanup, dependency upgrades, etc)
- [x] Build/deploy pipeline (DevOps)
- [ ] Other
```

## Objective

<!--Describe what the purpose of this PR is. For example: what bug
you're fixing or what new feature you're adding-->

## Code changes

<!--Explain the changes you've made to each file or major component.
This should help the reviewer understand your changes-->
<!--Also refer to any related changes or PRs in other repositories-->

- **.github/workflows/build-cli-docker.yml:** Push the docker image
always and run build on PR, and branches push without specifying path of
the change

## Before you submit

- Please add **unit tests** where it makes sense to do so

.github/workflows/build-cli-docker.yml

@@ -3,13 +3,12 @@ name: Build bws Docker image
 
 on:
   push:
-    paths:
-      - "crates/bws/**"
+    branches:
+      - "main"
+      - "rc"
+      - "hotfix-rc"
   workflow_dispatch:
   pull_request:
-    paths:
-      - ".github/workflows/build-cli-docker.yml"
-      - "crates/bws/**"
 
 env:
   _AZ_REGISTRY: bitwardenprod.azurecr.io
@@ -106,7 +105,7 @@ jobs:
           platforms: |
             linux/amd64,
             linux/arm64/v8
-          push: ${{ env.is_publish_branch }}
+          push: true
           tags: ${{ steps.tag-list.outputs.tags }}
           secrets: |
             "GH_PAT=${{ steps.retrieve-secret-pat.outputs.github-pat-bitwarden-devops-bot-repo-scope }}"