This pine looks like it has been grown with too much shade. There is no interior growth left. Too much shade, not enough sun & fertilizer, and you will end up with a sparse tree.
But with time, and I do mean 5 or more years, it can be fixed. You don't mention where you are located, so I can not give you season specific advice, I don't know if you are in Maine, or Australia, or California. Please edit your profile to include approximate location info, we don't need your address, just a location that we can make a guess at your climate with.
Top priority, would be to get this in the sun, minimum 8 to 10 hours of direct sun per day. JBP are heavy feeders, begin a regular fertilizer program. Begin fertilizing now through in late summer, through autumn. Pause fertilizing in winter, resume fertilizer early spring. During the rehab of this tree, keep fertilizing through out the summer. Once you begin the refinement phase, you stop fertilizer before you decandle, then no fertilizer until after the new shoots on the decandled branches have matured their needles. Late summer. THen begin fertilizing again. Brand of fertilizer is not important. Organic, inorganic, water soluble, doesn't really matter.
The trunk is pretty thick, difficult to bend. If you really want movement in this pine, it is too late for the main trunk. Your new tree is one of the branches at the first whorl of branches. That branch that starts at the first whorl, and goes up diagonally, like a secondary trunk, I would make that your new main trunk. I would begin removing the old straight trunk now, maybe remove half the foliage. Then the following summer you can remove the rest of that trunk.
Keep all the skinny branches at the first whorl, one of them will become your first branch. The fat diagonal will be the main trunk. The first whorl (2nd from the roots) on the diagonal, keep all the skinny branches, one will become your 2nd branch and one will become the next segment of main trunk. You will chop the diagonal above the 2nd whorl and continue the trunk using one of the branches. But this might not be done until next year. This year just reduce the rigid straight trunk.
At least that would be my plan. There are other options. Once this tree gets fertilizer and sun, it should start back budding.