If you have the right equipment with temp control, you may consider a step mash for optimal conversion.
I will do a no-batch using only my 1st runnings of sweet wort, but
but if you mash tun isn't large enough consider a 'double brew' where you split the grain in half and water. Drain your 1st running into boil kettle, then drain your second runnings into a bucket, clean out your grains from the mash tun, add the second half of your grains to the mash with with the second runnings from your first batch as the mash water. Be sure to properly reheat the wort/strike water before add the grain. When second mash is complete combine those 1st running into boil kettle with your other wort to being boil.
Once primary fermentation is complete (~3-6 days), rack into secondary fermentor, then add the Blueberry Puree to the secondary to ensure it mixes well. Leave it in the secondary for at least 2 weeks before bottling or racking to a keg.
Consider bottle or keg condition for up to 3 months for best results.