Would this be a good way to ask for her phone number?

I’m interested in a co-worker of mine at work, but I’m not really sure how to go about asking for her phone number. We talked a lot about anime and some of the same interest we both have during our shift earlier today. We laughed and joked around. I would like to recommend her a few anime series that she should check out and I was thinking about asking for her phone number, so I can text them to her. I don’t want to make feel uncomfortable.

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We talked about music and I’m thinking about making a playlist for her.
Would this be a good way to ask for her phone number?
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