Doesn't allow me in

I installed free launcher for minecraft because i bought bedrock edition on Nintendo Switch. On my Nintendo I have Minecraft Bedrock, obviously, and I even made access to Microsoft account, where it says I own Bedrock Edition. But the launcher doesn’t make me play, only says buy and sends me to the buying website of Minecraft: Java & Bedrock editions. So, back in the launcher, I select the Bedrock option and still tells me “Buy“. If I already bought it why can’t I just use what’s mine???