chore: [#3518] Enable 'no-public' accessibility rule in the .eslintrc file

[sw-joelmut]

Fixes #3518
#minor

Note: This PR is the last one of the series, that enables the rule to not use public access modifiers, therefore the lint CI pipelines will fail until previous PRs are merged.

Description

This PR removes the current @typescript-eslint/explicit-member-accessibility override and adds a new one to the rules' config, throwing an error when declaring a public access modifier (ignored for Typescript Constructor Shorthands (link)).

Specific Changes

• Removes existing @typescript-eslint/explicit-member-accessibility override from the .eslintrc.json file.
• Adds the new @typescript-eslint/explicit-member-accessibility config under the rules object, with the accessibility to 'no-public', and ignoring cases where it's declared in constructors.

[coveralls]

Pull Request Test Coverage Report for Build 2516207688

• 0 of 0 changed or added relevant lines in 0 files are covered.
• 287 unchanged lines in 25 files lost coverage.
• Overall coverage decreased (-0.004%) to 84.479%

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Files with Coverage Reduction	New Missed Lines	%
libraries/botbuilder-ai/src/qnaCardBuilder.ts	1	84.48%
libraries/botbuilder-core/src/memoryTranscriptStore.ts	1	95.0%
libraries/botbuilder-ai/src/qnaMakerDialog.ts	2	85.15%
libraries/botbuilder-core/src/skills/skillConversationIdFactoryBase.ts	2	40.0%
libraries/botbuilder-core/src/skypeMentionNormalizeMiddleware.ts	2	80.95%
libraries/botbuilder-core/src/turnContextStateCollection.ts	2	79.31%
libraries/botbuilder-core/src/turnContext.ts	2	97.71%
libraries/botbuilder-ai-orchestrator/src/orchestratorBotComponent.ts	3	50.0%
libraries/botbuilder-ai/src/qnamaker-utils/languageServiceUtils.ts	3	82.64%
libraries/botbuilder-core/src/showTypingMiddleware.ts	3	86.54%

Totals
Change from base Build 2245574340:	-0.004%
Covered Lines:	19904
Relevant Lines:	22312

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💛 - Coveralls