I live somewhere with similar weather and I don't feel like the weather is getting me down... Until there's a sunny day and I'm 10x more productive and happy.
You don't have to move very far to see a meaningful difference either. The difference in weather between the north of Ireland and the south of England is staggering. The proper summers there largely make up for the miserable winters. No so in Ireland sadly. It sounds mad but the wonderful English weather is one of the main things that would stop me moving back to Ireland.
I would love to live in that climate but that's not where the high-paying tech jobs and somewhat-affordable housing are. Instead I have to be in a climate where it's a blistering 105F for 3 straight months (arguably equally as depressing).