Unless you have a Multi-season tag, you are limited to the season that you have a tag for.
What you are seeing is the ability to hunt with a lessor weapon.
For example, with a modern tag, both muzzie & bow can be used during modern seasons.
During muzzie season, a muzzie tag holder can use a bow, (ie: a lesser weapon).
If you tried to buy a muzzie tag it would be denied because you chose archery, thus you already have your deer tag for 2024.
Draw a Multi-season next year and if you buy it, you can hunt all three seasons, just still limited to one deer.