Hello Yvonne

Creeping Charlie is a perennial, difficult to control weed. It also sprouts from seeds.

There is no 100% pet safe chemical control. Even organic controls can make pets sick if they consume too much of any garden product.

Your best bet is to get control of the area by using an effective herbicide. Temporarily fence off the area to be treated. Or, fence off an area for your pet to use that will not be treated, while you treat the weedy area. After the weed is killed the fence can be removed. This can take about a month to six weeks, since Creeping Charlie typically takes more than one treatment.

Another option is to rake out as much of the plant as you can. Be sure to get as many bits and pieces up and into the trash. Consider using a pre-emergent, such as is used for crabgrass control, to prevent seeds of creeping charlie from germinating.

Here are extension articles hat describe management of this weed-

https://hort.extension.wisc.edu/articles/controlling-creeping-charlie/

https://www.canr.msu.edu/uploads/resources/pdfs/ground_ivy_in_lawns_(e0006).pdf

Please read and follow all precautions on any chemical used. If you try the borax treatment, be sure your pet does not enter that area until the borax is well watered into the soil.