'its' refers to 'find' =a discovery of something valuable, typically something of archaeological interest) 2. We use 'modify' when referring to adverbs modifying verbs. " is used adjectivally, and qualifies 'archeologists' ('qualify' in grammar means "attribute a quality to (another word, especially a noun).
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In the sentence as given, it is read as clash being over protecting the artefacts from the find, to 'its' referred back to find.
Sorry, Terry, but in the sentence as given-- precisely because it uses 'latest battleground' (as you have accurately noted)-- 'its' must refer to "the country's". No larger context is necessary. The clash is the ongoing class ('increasingly h