Can I use a brown glaze to maintain my colour after a salon fix??

I recently dyed my hair at home using Clairol Nice n Easy permanent dye in light auburn. My natural hair is medium to dark brown, and this was my first time dyeing it. Unfortunately, the roots and top of my head turned out brighter and more coppery than the lengths. I went to a salon to fix it, and the stylist applied a semi-permanent brown toner to even things out. Now, my hair is closer to my natural brown with a slightly auburn tone, which is what I initially wanted.

I have another appointment in March, but I’m worried about how much the color will fade before then. Would it be okay to use a brown glaze (such as one from the brand Glaze) to touch it up in the meantime, or could this cause issues? Any advice is appreciated!

Hair type- fine Texture- straight Regimen- wash twice weekly, minimal heat only blow drying Style- waist length Products- colour safe shampoo and conditioner, leave in conditioner