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Historically the British in 1884 agreed to cede the Eritrean Highlands and coast around Massawa to Ethiopia in exchange for Ethiopia assisting the British in evacuating garrisons in Sudan. Historically the British instead just encouraged the Italians to take Massawa in order to be a balance to the French in Djibouti - eventually prompting the Italo-Abyssinian War.
What if the British kept their promise, Italian Eritrea remained Assab-centric, and in 1896 the Italians took Libya from the Ottomans instead of going to war with Ethiopia?
Italy likely takes Libya in the same way France took Tunisia - it is nominally Ottoman but Italy has taken control of it administratively. The Ottomans are unable to do anything as they are at war with Greece at this time.