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https://www.browning.com/products/shooting-accessories/scope-rings-and-bases/bar-blr-integrated-scope-mount-system-gloss.html

Ben, since this rifle is "Drilled and Tapped ", I would recommend this Picatinny Rail here (It will be the most versatile for scope or optics mounting) : https://www.amazon.com/Browning-Action-Rifle-Picatinny-Scope/dp/B01G97Y418

This one is made for the BLR Lightning model: opticsplanet.com/browning-integrated-scope-mount-system.html?_iv_gun-model=browning-blr-lightning&_iv_color=black&_iv_finish=matte&_iv_ring-height=intermediate,standard - Should be perfect fit (for a 1 inch scope - make sure you match the proper ring size with the diameter of your scope)

here you go https://www.budsgunshop.com/catalog/product_info.php/products_id/23277/browning+12376+2-piece+base%2frings+for+browning+bar%2fblr+integral+mounting+system