An antenna gain of 2.54dBi means it has 2.54dB greater launch power in its maximum direction than does an isotropic antenna. That's what the 'i' in dBi means, taking as a reference the isotropic antenna.
A physical isotropic antenna doesn't exist, it's what you get if you theoretically spread all your input power evenly over the full \$4\pi\$ steradians around it. Thus even a simple dipole has a gain of about +3dBi in its maximum directions.
If the input power is 1 watt, then it outputs +2.54dBW/\$4\pi\$ per steradian in its maximum direction. If the input power is 4 watts, it outputs +8.56dBW/\$4\pi\$ steradian. An increase of 4x in power is an increase of 6.02dB