Processing constant job rejections

I'm going on month 5 of being unemployed. Intellectually, I know that the job market is extremely competitive and extremely challenging right now and that it's a testament to my skills and experience

I'm going on month 5 of being unemployed. Intellectually, I know that the job market is extremely competitive and extremely challenging right now and that it's a testament to my skills and experience and abilities that I'm able to get all the interviews I have been getting in the past 4 months and that I've gotten as far as I have even if I haven't been able to convert anything into a job offer. But I still feel like a huge loser. I'm just looking for encouragement, reframing, some perspective. Getting to mid and near-final rounds, just got another mid-round rejection. I do have an interview for a contract job that pays half of what I used to make as a full-time employee. I know I should be grateful just for the opportunity but I still have to interview for that as well, so I'm feeling extremely defeated, like I am not valuable in the job market. How do you deal with this and recover from constant rejection? I'll keep pushing forward but it's like a mental pile-up of negativity.