Hey guys I bought a hooke road rear bumper however it jiggles around i noticed my old bumber had brackets that slid into the frame or into that square hole in between the 4 bolts ive been racking my head on how to reinforce this because the rear tire carrier jiggles around on bumps now i came across something on amazon that looks like it would reinforce this rear bumper pretty decently!! and it looks just like the old reinforcement on my old bumper. what are some of yall's thoughts? everything sounds like a good idea to me and makes sense or is there something better im missing?

i have an 01 jeep Cherokee XJ

---amazon rear bumper reinforcement >>> https://www.amazon.com/ELITEWILL-Brackets-Compatible-1986-2001-Cherokee/dp/B097D551RN/ref=cm_cr_arp_d_product_top?ie=UTF8

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---hooke road rear bumber >>> https://www.amazon.com/Hooke-Road-Cherokee-Foldable-Textured/dp/B09Z2WMT8Z/ref=asc_df_B09Z2WMT8Z/?tag=hyprod-20&linkCode=df0&hvadid=658382491081&hvpos=&hvnetw=g&hvrand=14164525637103031640&hvpone=&hvptwo=&hvqmt=&hvdev=c&hvdvcmdl=&hvlocint=&hvlocphy=9029029&hvtargid=pla-2090351949044&psc=1&mcid=810b187156fa3b67afd90d3996d3310e