Water – add elbows to move a b-vent exhaust

I am planning out a kitchen remodel, and would like to move the main exhaust vent for the water heater about 4-6 inches from where it currently passes through the kitchen area. The catch is that I cannot change its path through the upstairs without significantly increasing the scope of the project. So I am trying to figure out if stepping it over through the kitchen, and then back to the original path would work.

The exhaust is 6in B-Vent. Water heater is in the basement, has a short lateral run to the exhaust stack (which it no longer shares with the furnace), and then goes up through the first and second levels to vent through the roof. I am thinking that rotating the lateral run about 20 degrees, and then a pair of 45s where we go into the second level should give me enough offset to do what I want in the kitchen.

Any reason this wouldn’t work/be safe? Or cautionary points to make sure I account for before setting off on this path?

Here is a quick sketch of what I have in mind:
(exaggerating the movement for demonstration purposes, not to scale)

Edit: I looked up the manual on my water heater as suggested, and it referred me to "the latest version of the International Fuel Gas Code". Looking at the 2012 version of said code, I believe this is the relevant section:

503.6.9.1 Category I appliances. The sizing of natural draft venting systems serving one or more listed appliances equipped with a draft
hood or appliances listed for use with Type B gas vent, installed in a
single story of a building, shall be in accordance with one of the
following methods:

1. The provisions of Section 504.
2. For sizing an individual gas vent for a single, draft-hood-equipped appliance, the effective area of the vent
   connector and the gas vent shall be not less than the area of the
   appliance draft hood outlet, nor greater than seven times the draft
   hood outlet area.
3. For sizing a gas vent connected to two appliances with draft hoods, the effective area of the vent shall be not less than the area
   of the larger draft hood outlet plus 50 percent of the area of the
   smaller draft hood outlet, nor greater than seven times the smaller
   draft hood outlet area.
4. Approved engineering practices.

503.6.9.2 Vent offsets. Type B and L vents sized in accordance with Item 2 or 3 of Section 503.6.9.1 shall extend in a generally vertical
direction with offsets not exceeding 45 degrees (0.79 rad), except
that a vent system having not more than one 60-degree (1.04 rad)
offset shall be permitted. Any angle greater than 45 degrees (0.79
rad) from the vertical is considered horizontal. The total horizontal
distance of a vent plus the horizontal vent connector serving draft
hood-equipped appliances shall be not greater than 75 percent of the
vertical height of the vent.

I would interpret this to mean that the change I am wanting to make (using 2 45 degree elbows to create an offset) is permitted, as long as my pipe dimensions fall into the correct range(which they do). Can anyone confirm?