I don't understand why you will blow up the file size of your jpegs. What do you want to achieve with this?
If you exported your RAW with the 100% setting and without a file size limit you get the best qualitiy you can get. There's no chance to get more.
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How did you arrive at the desired file size of 3 MB? File size is a meaningless metric outside of a specific context. The important numbers are IMAGE SIZE, width and height in pixels or total pixel resolution in Megapixels.
An uncompressed 8 bit image that is no more than a bit over 1 Mp - around 840 x 1260 pixels - would produce a 3 MB file in .tif format. Jpgs are always compressed, even when the Quality setting is 100, and the amount of actual compression depends on image content. Large areas of solid colored background would compress more and at Quality 100 the compression might be as much as 1:10.
However, if you are getting jpgs of only 0.5 MB, this sounds like the decompressed image would be no more than, say 5 to 6 MB which indicates an image size of only around 2 Mp, say 1200 x 1800 pixels. In this day and age when even Crop cameras run to 24 Mp and FF cameras can be twice that, this sounds like an awfully small image, one suitable for on-line display but not for a high quality print much more than 4x6 inches.
So the first question is what is your image size?
Agreeing with the others.
A 3MB requirement is nonsense. Expanding the photo to make it larger actually will decrease the quality.