Yes—Lightroom Classic can automate part of this workflow.

The approach is to first stack each bracketed set, then run HDR merge on the stacked groups. In newer versions of Lightroom Classic, batch processing of HDR merges is supported once the source images are organized into stacks.

So instead of selecting each 3-shot bracket manually, you would:

1. Group each HDR sequence into its own stack.
2. Select the relevant stacks.
3. Run the HDR merge process across them.

That’s the Lightroom-based solution mentioned in the community answer. If your goal is to apply the same settings repeatedly and avoid doing each sequence one by one, stacking the bracketed images first is the key step.

If you don’t already have the images stacked, look in Lightroom Classic for stacking and photo merge workflow options in the latest version.