Is GC filing under EB2 dependent on the LCA filed for H1B

[checkmi]

Hi,

I have 10+ years of experience with Masters Degree, working as a business Analyst in company A with annual salary of 85K. My employer is planning to file my GC under EB3 category even though I fulfill all the requisites for an EB2. The reason they are saying is they have filed my LCA under EB3 category and hence GC can be done only as EB3. Also they told me that my salary is lower than the prevailing wage rate for EB2.
And if I want my GC to be done under EB2 category, they are saying that they will have to re file my LCA and H1b, which im really unsure of.

Details from LCA -
1. Job Title - Business Analyst
2. SOC Code - 13-1111
3. SOC Title - Management Analyst
4. Rate of Pay - 74K to 89K
5.Wage Level - II
6.Prevailing wage - 74K
7 Prevailing wage source - OES

Also I checked the prevailing wage rate from FLCDatCenter for the SOC code. It is as below
Level1-48K
Level2-65K
Level3-82K
Level4-100K
Mean Wage - 82K

As per the this details, I'm above level 3, but my LCA said my Wage level is 2.

Can you please advice me the best possible way to file under EB2 category ?
Awaiting your reply

Thanks in advance,
Neha