# pi-type bonding interaction along the bond

I was given the diagram of $$\ce{BF3}$$'s LUMO and asked to assess its bonding character as shown below:

Below is the model answer for the annotated version.

I managed to correctly answer the HOMO MO with the same annotations but was confused here slightly.

The LUMO Interaction shows a $$\ce{p}$$ orbital coming out of the plane, where the B p orbital is out of phase with the $$\ce{F3}$$ fragmnet orbitals, but the model answer suggests there is a $$\ce{\pi}$$ type bonding interaction.

This does not make sense to me. Unless mistaken, I thought the p-orbitals from the B and the F atoms (given they are out of phase) show along the bond $$\ce{\pi}$$ type antibonding properties, rather than $$\ce{\pi}$$-type bonding interaction.

Am I correct or not? How is there $$\ce{pi}$$-type bonding interaction possible along the bond here?