The newly discovered high-๐๐ nickelate superconductor La3โขNi2โขO7 has generated significant research interest. To uncover the pairing mechanism, it is essential to investigate the intriguing interplay between the two ๐๐, i.e., ๐๐ฅ2โ๐ฆ2 and ๐๐ง2 orbitals. Here we conduct an infinite projected entangled-pair state (iPEPS) study of the bilayer ๐กโ๐ฝ model, directly in the thermodynamic limit and with orbitally selective parameters for ๐๐ฅ2โ๐ฆ2 and ๐๐ง2 orbitals, respectively. The ๐๐ฅ2โ๐ฆ2 electrons exhibit significant intralayer hopping ๐กโฅ (and spin couplings ๐ฝโฅ) as well as strong interlayer ๐ฝโฅ passed from the ๐๐ง2 electrons. However, the interlayer ๐กโฅ is negligible in this case. In contrast, the ๐๐ง2 orbital demonstrates strong interlayer ๐กโฅ and ๐ฝโฅ, while the inherent intralayer ๐กโฅ and ๐ฝโฅ are small. Based on the iPEPS results, we find clear orbital-selective behaviors in La3โขNi2โขO7. The ๐๐ฅ2โ๐ฆ2 orbitals exhibit robust superconductive (SC) order driven by the interlayer coupling ๐ฝโฅ, while the ๐๐ง2 band shows relatively weak SC order as a result of small ๐กโฅ (lack of coherence) but large ๐กโฅ (strong Pauli blocking). Furthermore, by substituting rare-earth element Pm or Sm with La, we find an enhanced SC order, which opens up a promising avenue for discovering nickelate superconductors with even higher ๐๐