Actually, this album repeats the same mistakes of Kingdom Come: Jay attempting to "rewrite the rules" to stay relevant. MCHG suffers from the same.
And its like Jay Z took cues from T.I. for both Kingdom Come and BP3. Kingdom Come dropped the same year as T.I.'s King and Kingdom Come was like Jay Z answer to King being the only rap album to go platinum that year. Then T.I.'s Paper Trail started this trend of these huge stadium sized power pop rap records i.e. "Live Ya Life" feat. Rihanna.
Then there's the weird futuristic sound he was going for with the Timbaland tracks. Timbaland was struggling to find his sound after having a monster two years with Justin, Nelly, and his own Shock Value album, but the chemistry with Jay was off. MCHG was a better album IMO, but Jay was lazy lyrically and his once elite flow was showing signs of fatigue.
Then there's the Kanye/No I.D. songs, which were dope for the most part, but there was still "Hate" and "Young Forever". Awkward time for Kanye too as this was in transition from 808's going into the MBDTF era. Hip Hop was at an awkward phase as a whole. The Hipster/Blog era was something else with Wale, B.o.B, Kid Cudi, and them coming up. That whole Travis Porter, J-Money style comingnout of Atlanta. Flocka debuting. Gucci Mane breaking through the mainstream. Drake becoming the biggest rapper out. Cole impacting. Nicki Minaj impacting.