The problem is twofold.
#1. You appear to be using an old outdated version of Armory (0.96). I assume you got it from here: www. bitcoinarmory.com
DO NOT use this website... it is old, outdated and no longer maintained. The current website that you should use is:
https://btcarmory.com/#2. You are using Bitcoin Core in Pruned mode. Armory requires the full and complete blockchain on disk so that it can scan the blockchain history properly. You need to disable pruned mode in the settings and then let Bitcoin Core resync.
I would recommend that you upgrade to v0.96.5 that is available here:
https://btcarmory.com/0.96.5-release/It works on Windows 10 with Bitcoin 0.21.1... however, as noted above, you can NOT use Bitcoin Core in pruned mode if you want to use Armory.
So, at this stage, your options are:
1. Update to Armory 0.96.5, disabled pruning in Bitcoin Core, let Bitcoin Core fully sync (requires ~400 gigs free harddrive space) and then run Armory.
or
2. Move to an SPV wallet like Electrum.
If you have already sent funds to an Armory address, and just want to move to another wallet, you can follow my guide here on how to export your private keys from Armory:
https://bitcointalk.org/index.php?topic=4746784.msg43255691#msg43255691