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Hello. I can help. Do you have any sketches you can share?
Thank you for the sketch
A glulam would need to be a 5.125" x 16.5" 24F-V4
Wood just has to be much deeper, because steel is 15 times more stiff.
A W10x22 will work for L/240 deflection (1.1"), but you'll need a special detail to let the joists brace the beam laterally.
That is a reasonable detail.
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