Tortoise Git SSH Auto-Authorization Issue

I'm using Tortoise Git as the Tortoise client to perform Git actions such as check modifications, clone, add, commit, push etc. via GUI. It's been a pain getting Tortoise to be able to be authorized automatically by the Git Serve.

Background

1. I've already had private key generated via MobaXTerm and stored in the Git machine's authorized_keys.
2. Now I want to enable the auto-authorization from TortoiseGit to the Git server upon performing actions such as Git Push. Therefore I need to let my Tortoise Git know the whereabout of the private key.
3. Here comes the problem, that specific private key has to be converted to Putty format. To do that, we use PuttyGen that is installed together with the Tortoise Git.
1. Conversations - Import Key (look for the specific Private Key)
2. Save private key to a location
4. Next, start Pageant which has also been installed by Tortoise Git installer. An icon will appear at the taskbar. Right click - > Add Key. Select the Private Key that you just created in previous step.