You can change that default with the Default topics automatic unpin site setting, but that changes it for all pinned topics, so it’s not really what you are asking for.
Are those the only tags you use on your forum? Would a tag banner which includes the link help? Many theme component and plugin topic tags on meta offer a link to the topic in the banner, and I often find them helpful.
Perhaps you could use a self-written theme component to display the topic in certain routes in the topic list at the top without pinning it, similar to how Category Previews displays a category in the same style as the other categories in the category list. You add your topic to a plugin outlet so that it looks like a pinned topic.