Where does “*Gaiʀahari” come from?

*Gaiʀahari (Germanic) comes from Proto-West Germanic gaiʀ, from Proto-Germanic gaizaz, from Proto-Indo-European ǵʰoysós, from Proto-Indo-European ǵʰey- — winter.

Ancestry of “*Gaiʀahari”, step by step

StepLanguageWordMeaning
1Proto-West Germanicgaiʀspear
2Proto-Germanicgaizazspear, pike, javelin
3Proto-Indo-Europeanǵʰoysósthrowing spear
4Proto-Indo-Europeanǵʰey-winter
Every word from Proto-Indo-European ǵʰey- →Every word from Proto-Indo-European ǵʰoysós →Every word from Proto-Germanic gaizaz →